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22132100 = 2252435147
BaseRepresentation
bin101010001101…
…1010110000100
31112122102112102
41110123112010
521131211400
62110211232
7356056034
oct124332604
945572472
1022132100
11115471a1
1274b3b18
13477ba23
142d218c4
151e229d5
hex151b584

22132100 has 36 divisors (see below), whose sum is σ = 49153104. Its totient is φ = 8645280.

The previous prime is 22132091. The next prime is 22132127. The reversal of 22132100 is 123122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (1365364).

Almost surely, 222132100 is an apocalyptic number.

22132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576552).

22132100 is an abundant number, since it is smaller than the sum of its proper divisors (27021004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22132100 is a wasteful number, since it uses less digits than its factorization.

22132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22132100 is about 4704.4765915030. The cubic root of 22132100 is about 280.7636466981.

Adding to 22132100 its reverse (123122), we get a palindrome (22255222).

The spelling of 22132100 in words is "twenty-two million, one hundred thirty-two thousand, one hundred".